Besides, critical edges in networks also play a critical role in information diffusion[1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}. For example, critical edges give important transmission lines in complex power networks. As another example, the identification of critical edges can be helpful to analyze the vulnerability in electrical transmission networks. Recently, many researchers focus on finding critical edges based on network topology. For example, the authors in [1]} use the degree of the two nodes that an edge connects to measure the importance of the edge. In [2]}, [3]}, [4]}, the authors use the betweenness centrality of edges to detect critical edges. In other words, they assume that edges connecting two connected components are important. There are also other studies that use flow/reachability[5]}, [6]}, bridgeness [9]}, neighbors [7]}, and clique degrees [8]} to measure the edge importance.
